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Question: A power wrench used on an assembly line applies a precise, preset amount of torque; the torque applied has standard deviation 0.73 foot-pound at every torque setting. To check that the wrench is operating within specifications it is used to tighten 100 fasteners. The mean torque applied is 36.95 foot-pounds with sample standard deviation 0.62 foot-pound. Construct a 99.9% confidence interval for the mean amount of torque applied by the wrench at this setting.
Scores on exam-2 are normally distributed with a mean of 66 and standard deviation 1.5 a) What is the probability that a student selected at random has a score below 60 on this exam?
The standard deviation for a population is s=14.5. A sample of 25 observations selected from this population gave a mean equal to 140.30.
Consider rolling two fair dice at the same time. What is the conditional probability of getting a pair, given that the total is 5 or lower?
Shopping spree The figure below is a cumulative relative frequency graph of the amount spent by 50 consecutive grocery shoppers.
In a random sample of 16 mountain climbers who are going to attempt Mt. McKinley, what is the probability of each of the following?
gender and belief in afterlife. the table shows results from the 2008 general social survey on gender and whether or
According to Pew Research Center, 71% of Internet users accessed video-sharing sites in August2011. A random sample of 50 Internet users was selected. Using the normal approximation to thebinomial distribution, what is the probability that 37 or m..
The producer's risk in a sampling program is 0.05 and the consumer's risk is 0.10; the AQL is 0.03 and the LTPD is 0.07. (a) What is the probability of accepting a lot whose true proportion of defectives is 0.03?
Two bonus points for rigorously proving Xt and Xt+1 are not independent. Let Xt=1+et-0.5et-1, t=1,2,3,..., where et~IID N(0,2), variance of et is 2. Calculate the mean of Xt.
we rolled two six-sided dice one with sides 1 2 2 3 3 4 and the other with sides 1 3 4 5 6 8. what is the distribution
In a study of the effects of stress on illness, a researcher tallied the number of colds people contracted during a six month period as a function of the amount of stress they reported during that same time period.
Using this sample, do you believe the advertising campaign was successful? Why or why not?
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